To the death and i played a marvel game.And watched the movies and thats how a thought this up hehe "Don't worry about the world coming to an end today. It's already tomorrow in Australia." (Charles Schultz)

Since both are fully human, and Captain America only has a shield plus natural strengh vs a man with a sword who knows how to use it...edge...Aragorn. Though, it could go either way...Captain America would win in a grapple.

With the real Captain America dead, Bucky has tried to step up and take his place, but once a weinie always a weinie. Aragorn squishes the little Robin-wannabe. ****************************************** The audacious proposal stirred his heart. And the stirring became a song, and it mingled with the songs of Gil-galad and Celebrian, and with those of Feanor and Fingon. The song-weaving created a larger song, and then another, until suddenly it was as if a long forgotten memory woke and for one breathtaking moment the Music of the Ainur revealed itself in all glory. He opened his lips to sing and share this song. Then he realized that the others would not understand. Not even Mithrandir given his current state of mind. So he smiled and simply said "A diversion.”

He is the genetic result of a super-serum formula which changed his body at the genetic level. So while not "super powered" he is very enhanced. Sorry to be such a horrible comic book geek! Aragorn is a mighty fine physical specimen too. I like this battle a lot. I wish my name was "Barrow Wong". Maybe I should change it. And now for my quote:

"Please note, we have added a consequence for failure. Any contact with the chamber floor will result in an unsatisfactory mark on your official testing record, followed by death. Good luck."